%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC093+1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n002.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:58:01 AM UTC 2026 % Result : Theorem 64.97s 65.14s % Output : Proof 64.97s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC093+1 : TPTP v9.2.1. Released v2.4.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n002.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 19:15:03 EDT 2026 % 0.17/0.34 % CPUTime : % 0.32/0.51 %----Proving TF0_NAR, FOF, or CNF % 64.97/65.14 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 64.97/65.14 --- Run --no-e-matching --full-saturate-quant at 6... % 64.97/65.14 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 64.97/65.14 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 64.97/65.14 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 64.97/65.14 --- Run --trigger-sel=max --full-saturate-quant at 15... % 64.97/65.14 % SZS status Theorem % 64.97/65.14 % SZS output start Proof % 64.97/65.14 ( % 64.97/65.14 (declare-sort $$unsorted 0) % 64.97/65.14 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 64.97/65.14 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 64.97/65.14 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 64.97/65.14 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 64.97/65.14 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 64.97/65.14 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 64.97/65.14 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 64.97/65.14 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 64.97/65.14 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 64.97/65.14 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 64.97/65.14 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 64.97/65.14 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 64.97/65.14 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 64.97/65.14 (declare-const tptp.nil $$unsorted) % 64.97/65.14 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 64.97/65.14 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 64.97/65.14 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 64.97/65.14 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 64.97/65.14 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 64.97/65.14 (declare-const tptp.ssList (-> $$unsorted Bool)) % 64.97/65.14 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 64.97/65.14 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 64.97/65.14 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 64.97/65.14 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 64.97/65.14 (define @t1 () (@var "V" $$unsorted)) % 64.97/65.14 (define @t2 () (@var "U" $$unsorted)) % 64.97/65.14 (define @t3 () (= @t2 @t1)) % 64.97/65.14 (define @t4 () (not @t3)) % 64.97/65.14 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 64.97/65.14 (define @t6 () (tptp.ssItem @t1)) % 64.97/65.14 (define @t7 () (@list @t1)) % 64.97/65.14 (define @t8 () (tptp.ssItem @t2)) % 64.97/65.14 (define @t9 () (@list @t2)) % 64.97/65.14 (define @t10 () (@var "X" $$unsorted)) % 64.97/65.14 (define @t11 () (tptp.cons @t1 @t10)) % 64.97/65.14 (define @t12 () (@var "W" $$unsorted)) % 64.97/65.14 (define @t13 () (tptp.app @t12 @t11)) % 64.97/65.14 (define @t14 () (tptp.ssList @t10)) % 64.97/65.14 (define @t15 () (and @t14 (= @t13 @t2))) % 64.97/65.14 (define @t16 () (@list @t10)) % 64.97/65.14 (define @t17 () (exists @t16 @t15)) % 64.97/65.14 (define @t18 () (tptp.ssList @t12)) % 64.97/65.14 (define @t19 () (and @t18 @t17)) % 64.97/65.14 (define @t20 () (@list @t12)) % 64.97/65.14 (define @t21 () (exists @t20 @t19)) % 64.97/65.14 (define @t22 () (tptp.memberP @t2 @t1)) % 64.97/65.14 (define @t23 () (= @t22 @t21)) % 64.97/65.14 (define @t24 () (=> @t6 @t23)) % 64.97/65.14 (define @t25 () (forall @t7 @t24)) % 64.97/65.14 (define @t26 () (tptp.ssList @t2)) % 64.97/65.14 (define @t27 () (=> @t26 @t25)) % 64.97/65.14 (define @t28 () (forall @t9 @t27)) % 64.97/65.14 (define @t29 () (tptp.cons @t1 tptp.nil)) % 64.97/65.14 (define @t30 () (tptp.app @t1 @t12)) % 64.97/65.14 (define @t31 () (tptp.frontsegP @t2 @t1)) % 64.97/65.14 (define @t32 () (tptp.ssList @t1)) % 64.97/65.14 (define @t33 () (tptp.app @t12 @t1)) % 64.97/65.14 (define @t34 () (tptp.rearsegP @t2 @t1)) % 64.97/65.14 (define @t35 () (tptp.segmentP @t2 @t1)) % 64.97/65.14 (define @t36 () (tptp.leq @t12 @t1)) % 64.97/65.14 (define @t37 () (tptp.leq @t1 @t12)) % 64.97/65.14 (define @t38 () (@var "Z" $$unsorted)) % 64.97/65.14 (define @t39 () (@var "Y" $$unsorted)) % 64.97/65.14 (define @t40 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t39)) (tptp.cons @t12 @t38)) @t2)) % 64.97/65.14 (define @t41 () (tptp.ssList @t38)) % 64.97/65.14 (define @t42 () (@list @t38)) % 64.97/65.14 (define @t43 () (tptp.ssList @t39)) % 64.97/65.14 (define @t44 () (@list @t39)) % 64.97/65.14 (define @t45 () (tptp.ssItem @t12)) % 64.97/65.14 (define @t46 () (tptp.lt @t1 @t12)) % 64.97/65.14 (define @t47 () (= @t1 @t12)) % 64.97/65.14 (define @t48 () (forall @t7 (=> @t32 @t5))) % 64.97/65.14 (define @t49 () (=> @t26 @t48)) % 64.97/65.14 (define @t50 () (forall @t9 @t49)) % 64.97/65.14 (define @t51 () (tptp.cons @t1 @t2)) % 64.97/65.14 (define @t52 () (tptp.ssList @t51)) % 64.97/65.14 (define @t53 () (forall @t7 (=> @t6 @t52))) % 64.97/65.14 (define @t54 () (=> @t26 @t53)) % 64.97/65.14 (define @t55 () (forall @t9 @t54)) % 64.97/65.14 (define @t56 () (tptp.ssList tptp.nil)) % 64.97/65.14 (define @t57 () (not (= @t51 @t2))) % 64.97/65.14 (define @t58 () (=> @t6 @t57)) % 64.97/65.14 (define @t59 () (forall @t7 @t58)) % 64.97/65.14 (define @t60 () (=> @t26 @t59)) % 64.97/65.14 (define @t61 () (forall @t9 @t60)) % 64.97/65.14 (define @t62 () (= @t1 @t2)) % 64.97/65.14 (define @t63 () (tptp.cons @t12 @t1)) % 64.97/65.14 (define @t64 () (= tptp.nil @t2)) % 64.97/65.14 (define @t65 () (tptp.hd @t2)) % 64.97/65.14 (define @t66 () (not @t64)) % 64.97/65.14 (define @t67 () (tptp.tl @t2)) % 64.97/65.14 (define @t68 () (tptp.app @t2 @t1)) % 64.97/65.14 (define @t69 () (tptp.app @t1 @t2)) % 64.97/65.14 (define @t70 () (tptp.app tptp.nil @t2)) % 64.97/65.14 (define @t71 () (=> @t26 (= @t70 @t2))) % 64.97/65.14 (define @t72 () (forall @t9 @t71)) % 64.97/65.14 (define @t73 () (tptp.leq @t1 @t2)) % 64.97/65.14 (define @t74 () (tptp.leq @t2 @t1)) % 64.97/65.14 (define @t75 () (tptp.geq @t2 @t1)) % 64.97/65.14 (define @t76 () (tptp.lt @t1 @t2)) % 64.97/65.14 (define @t77 () (tptp.lt @t2 @t1)) % 64.97/65.14 (define @t78 () (tptp.lt @t2 @t12)) % 64.97/65.14 (define @t79 () (tptp.gt @t2 @t1)) % 64.97/65.14 (define @t80 () (tptp.memberP @t12 @t2)) % 64.97/65.14 (define @t81 () (tptp.app @t12 @t2)) % 64.97/65.14 (define @t82 () (tptp.segmentP @t2 @t2)) % 64.97/65.14 (define @t83 () (forall @t9 (=> @t26 @t82))) % 64.97/65.14 (define @t84 () (tptp.segmentP (tptp.app @t81 @t10) @t1)) % 64.97/65.14 (define @t85 () (=> @t35 @t84)) % 64.97/65.14 (define @t86 () (forall @t16 (=> @t14 @t85))) % 64.97/65.14 (define @t87 () (=> @t18 @t86)) % 64.97/65.14 (define @t88 () (forall @t20 @t87)) % 64.97/65.14 (define @t89 () (=> @t32 @t88)) % 64.97/65.14 (define @t90 () (forall @t7 @t89)) % 64.97/65.14 (define @t91 () (=> @t26 @t90)) % 64.97/65.14 (define @t92 () (forall @t9 @t91)) % 64.97/65.14 (define @t93 () (tptp.cons @t2 tptp.nil)) % 64.97/65.14 (define @t94 () (tptp.hd @t1)) % 64.97/65.14 (define @t95 () (= tptp.nil @t1)) % 64.97/65.14 (define @t96 () (not @t95)) % 64.97/65.14 (define @t97 () (tptp.cons @t2 @t1)) % 64.97/65.14 (define @t98 () (= @t12 @t2)) % 64.97/65.14 (define @t99 () (= @t51 (tptp.app @t29 @t2))) % 64.97/65.14 (define @t100 () (forall @t7 (=> @t6 @t99))) % 64.97/65.14 (define @t101 () (=> @t26 @t100)) % 64.97/65.14 (define @t102 () (forall @t9 @t101)) % 64.97/65.14 (define @t103 () (tptp.app @t2 tptp.nil)) % 64.97/65.14 (define @t104 () (=> @t26 (= @t103 @t2))) % 64.97/65.14 (define @t105 () (forall @t9 @t104)) % 64.97/65.14 (define @t106 () (tptp.neq @t10 tptp.nil)) % 64.97/65.14 (define @t107 () (not (tptp.memberP @t10 @t38))) % 64.97/65.14 (define @t108 () (tptp.cons @t38 tptp.nil)) % 64.97/65.14 (define @t109 () (not (= @t108 @t12))) % 64.97/65.14 (define @t110 () (or @t109 @t107)) % 64.97/65.14 (define @t111 () (tptp.ssItem @t38)) % 64.97/65.14 (define @t112 () (=> @t111 @t110)) % 64.97/65.14 (define @t113 () (forall @t42 @t112)) % 64.97/65.14 (define @t114 () (and @t113 @t106)) % 64.97/65.14 (define @t115 () (not (= tptp.nil @t12))) % 64.97/65.14 (define @t116 () (and @t115 (= tptp.nil @t10))) % 64.97/65.14 (define @t117 () (tptp.segmentP @t2 @t39)) % 64.97/65.14 (define @t118 () (tptp.segmentP @t1 @t39)) % 64.97/65.14 (define @t119 () (tptp.neq @t39 tptp.nil)) % 64.97/65.14 (define @t120 () (and @t43 @t119 @t118 @t117)) % 64.97/65.14 (define @t121 () (exists @t44 @t120)) % 64.97/65.14 (define @t122 () (tptp.neq @t1 tptp.nil)) % 64.97/65.14 (define @t123 () (not @t122)) % 64.97/65.14 (define @t124 () (not (= @t2 @t12))) % 64.97/65.14 (define @t125 () (not (= @t1 @t10))) % 64.97/65.14 (define @t126 () (or @t125 @t124 @t123 @t121 @t116 @t114)) % 64.97/65.14 (define @t127 () (=> @t14 @t126)) % 64.97/65.14 (define @t128 () (forall @t16 @t127)) % 64.97/65.14 (define @t129 () (=> @t18 @t128)) % 64.97/65.14 (define @t130 () (forall @t20 @t129)) % 64.97/65.14 (define @t131 () (=> @t32 @t130)) % 64.97/65.14 (define @t132 () (forall @t7 @t131)) % 64.97/65.14 (define @t133 () (=> @t26 @t132)) % 64.97/65.14 (define @t134 () (forall @t9 @t133)) % 64.97/65.14 (define @t135 () (not @t134)) % 64.97/65.14 (define @t136 () (@var "BOUND_VARIABLE_10208" $$unsorted)) % 64.97/65.14 (define @t137 () (@var "BOUND_VARIABLE_10212" $$unsorted)) % 64.97/65.14 (define @t138 () (@var "BOUND_VARIABLE_10210" $$unsorted)) % 64.97/65.14 (define @t139 () (tptp.segmentP (tptp.app (tptp.app @t138 @t2) @t137) @t136)) % 64.97/65.14 (define @t140 () (not (tptp.ssList @t137))) % 64.97/65.14 (define @t141 () (not (tptp.ssList @t138))) % 64.97/65.14 (define @t142 () (not (tptp.segmentP @t2 @t136))) % 64.97/65.14 (define @t143 () (not (tptp.ssList @t136))) % 64.97/65.14 (define @t144 () (not @t26)) % 64.97/65.14 (define @t145 () (or @t143 @t142 @t141 @t140 @t139)) % 64.97/65.14 (define @t146 () (or @t144 @t145)) % 64.97/65.14 (define @t147 () (forall (@list @t2 @t136 @t138 @t137) @t146)) % 64.97/65.14 (define @t148 () (@list @t136 @t138 @t137)) % 64.97/65.14 (define @t149 () (forall @t148 @t146)) % 64.97/65.14 (define @t150 () (forall @t148 @t145)) % 64.97/65.14 (define @t151 () (@var "BOUND_VARIABLE_10189" $$unsorted)) % 64.97/65.14 (define @t152 () (@var "BOUND_VARIABLE_10187" $$unsorted)) % 64.97/65.14 (define @t153 () (or @t144 @t150)) % 64.97/65.14 (define @t154 () (tptp.segmentP (tptp.app (tptp.app @t152 @t2) @t151) @t1)) % 64.97/65.14 (define @t155 () (not (tptp.ssList @t151))) % 64.97/65.14 (define @t156 () (not (tptp.ssList @t152))) % 64.97/65.14 (define @t157 () (not @t35)) % 64.97/65.14 (define @t158 () (not @t32)) % 64.97/65.14 (define @t159 () (or @t158 @t157 @t156 @t155 @t154)) % 64.97/65.14 (define @t160 () (@list @t1 @t152 @t151)) % 64.97/65.14 (define @t161 () (forall @t160 @t159)) % 64.97/65.14 (define @t162 () (or @t156 @t155 @t154)) % 64.97/65.14 (define @t163 () (or @t158 @t157 @t162)) % 64.97/65.14 (define @t164 () (forall @t160 @t163)) % 64.97/65.14 (define @t165 () (@list @t152 @t151)) % 64.97/65.14 (define @t166 () (forall @t165 @t163)) % 64.97/65.14 (define @t167 () (forall @t165 @t162)) % 64.97/65.14 (define @t168 () (@var "BOUND_VARIABLE_10170" $$unsorted)) % 64.97/65.14 (define @t169 () (or @t158 @t157 @t167)) % 64.97/65.14 (define @t170 () (tptp.segmentP (tptp.app @t81 @t168) @t1)) % 64.97/65.14 (define @t171 () (not (tptp.ssList @t168))) % 64.97/65.14 (define @t172 () (not @t18)) % 64.97/65.14 (define @t173 () (or @t172 @t171 @t170)) % 64.97/65.14 (define @t174 () (@list @t12 @t168)) % 64.97/65.14 (define @t175 () (forall @t174 @t173)) % 64.97/65.14 (define @t176 () (or @t158 @t157 @t175)) % 64.97/65.14 (define @t177 () (or @t157 @t175)) % 64.97/65.14 (define @t178 () (or @t171 @t170)) % 64.97/65.14 (define @t179 () (or @t172 @t178)) % 64.97/65.14 (define @t180 () (forall @t174 @t179)) % 64.97/65.14 (define @t181 () (@list @t168)) % 64.97/65.14 (define @t182 () (forall @t181 @t179)) % 64.97/65.14 (define @t183 () (forall @t181 @t178)) % 64.97/65.14 (define @t184 () (@list @t10)) % 64.97/65.14 (define @t185 () (or @t172 @t183)) % 64.97/65.14 (define @t186 () (not @t14)) % 64.97/65.14 (define @t187 () (or @t186 @t84)) % 64.97/65.14 (define @t188 () (forall @t16 @t187)) % 64.97/65.14 (define @t189 () (or @t172 @t188)) % 64.97/65.14 (define @t190 () (forall @t20 @t189)) % 64.97/65.14 (define @t191 () (or @t157 @t190)) % 64.97/65.14 (define @t192 () (or @t157 @t189)) % 64.97/65.14 (define @t193 () (or @t172 @t157 @t188)) % 64.97/65.14 (define @t194 () (or @t157 @t188)) % 64.97/65.14 (define @t195 () (or @t157 @t187)) % 64.97/65.14 (define @t196 () (or @t186 @t157 @t84)) % 64.97/65.14 (define @t197 () (@var "BOUND_VARIABLE_8236" $$unsorted)) % 64.97/65.14 (define @t198 () (@var "BOUND_VARIABLE_11086" $$unsorted)) % 64.97/65.14 (define @t199 () (tptp.neq @t198 tptp.nil)) % 64.97/65.14 (define @t200 () (@var "BOUND_VARIABLE_11088" $$unsorted)) % 64.97/65.14 (define @t201 () (and (or (not (tptp.ssItem @t200)) (not (= @t2 (tptp.cons @t200 tptp.nil))) (not (tptp.memberP @t198 @t200))) @t199)) % 64.97/65.14 (define @t202 () (not (= @t2 tptp.nil))) % 64.97/65.14 (define @t203 () (not @t117)) % 64.97/65.14 (define @t204 () (not @t119)) % 64.97/65.14 (define @t205 () (not @t43)) % 64.97/65.14 (define @t206 () (not (forall @t44 (or @t205 @t204 (not (tptp.segmentP @t198 @t39)) @t203)))) % 64.97/65.14 (define @t207 () (not @t199)) % 64.97/65.14 (define @t208 () (not (tptp.ssList @t198))) % 64.97/65.14 (define @t209 () (@list @t2 @t198 @t200)) % 64.97/65.14 (define @t210 () (forall @t209 (or @t144 @t208 @t207 @t206 (and @t202 (= tptp.nil @t198)) @t201))) % 64.97/65.14 (define @t211 () (@quantifiers_skolemize @t210 2)) % 64.97/65.14 (define @t212 () (@quantifiers_skolemize @t210 1)) % 64.97/65.14 (define @t213 () (not (tptp.ssList @t197))) % 64.97/65.14 (define @t214 () (@list @t12 @t197)) % 64.97/65.14 (define @t215 () (forall @t214 (or @t172 @t213 (not (= @t212 (tptp.app @t12 (tptp.cons @t211 @t197))))))) % 64.97/65.14 (define @t216 () (@quantifiers_skolemize @t215 1)) % 64.97/65.14 (define @t217 () (@quantifiers_skolemize @t210 0)) % 64.97/65.14 (define @t218 () (@var "BOUND_VARIABLE_8261" $$unsorted)) % 64.97/65.14 (define @t219 () (= (tptp.memberP @t2 @t218) (not (forall @t214 (or @t172 @t213 (not (= @t2 (tptp.app @t12 (tptp.cons @t218 @t197))))))))) % 64.97/65.14 (define @t220 () (not (tptp.ssItem @t218))) % 64.97/65.14 (define @t221 () (or @t220 @t219)) % 64.97/65.14 (define @t222 () (or @t144 @t221)) % 64.97/65.14 (define @t223 () (forall (@list @t2 @t218) @t222)) % 64.97/65.14 (define @t224 () (@list @t218)) % 64.97/65.14 (define @t225 () (forall @t224 @t222)) % 64.97/65.14 (define @t226 () (forall @t224 @t221)) % 64.97/65.14 (define @t227 () (@list @t1)) % 64.97/65.14 (define @t228 () (or @t144 @t226)) % 64.97/65.14 (define @t229 () (not (= @t2 (tptp.app @t12 (tptp.cons @t1 @t197))))) % 64.97/65.14 (define @t230 () (or @t172 @t213 @t229)) % 64.97/65.14 (define @t231 () (= @t22 (not (forall @t214 @t230)))) % 64.97/65.14 (define @t232 () (not @t6)) % 64.97/65.14 (define @t233 () (forall @t7 (or @t232 @t231))) % 64.97/65.14 (define @t234 () (or @t213 @t229)) % 64.97/65.14 (define @t235 () (or @t172 @t234)) % 64.97/65.14 (define @t236 () (forall @t214 @t235)) % 64.97/65.14 (define @t237 () (@list @t197)) % 64.97/65.14 (define @t238 () (forall @t237 @t235)) % 64.97/65.14 (define @t239 () (forall @t237 @t234)) % 64.97/65.14 (define @t240 () (or @t172 @t239)) % 64.97/65.14 (define @t241 () (= @t2 @t13)) % 64.97/65.14 (define @t242 () (forall @t16 (or @t186 (not @t241)))) % 64.97/65.14 (define @t243 () (not @t242)) % 64.97/65.14 (define @t244 () (and @t18 @t243)) % 64.97/65.14 (define @t245 () (forall @t20 (not @t244))) % 64.97/65.14 (define @t246 () (not @t245)) % 64.97/65.14 (define @t247 () (and @t14 @t241)) % 64.97/65.14 (define @t248 () (forall @t16 (not @t247))) % 64.97/65.14 (define @t249 () (not @t248)) % 64.97/65.14 (define @t250 () (and @t202 (= @t198 tptp.nil))) % 64.97/65.14 (define @t251 () (or @t144 @t208 @t207 @t206 @t250 @t201)) % 64.97/65.14 (define @t252 () (or @t208 @t207 @t206 @t250 @t201)) % 64.97/65.14 (define @t253 () (or @t144 @t252)) % 64.97/65.14 (define @t254 () (forall @t209 @t253)) % 64.97/65.14 (define @t255 () (@list @t198 @t200)) % 64.97/65.14 (define @t256 () (forall @t255 @t253)) % 64.97/65.14 (define @t257 () (forall @t255 @t252)) % 64.97/65.14 (define @t258 () (@var "BOUND_VARIABLE_11068" $$unsorted)) % 64.97/65.14 (define @t259 () (or @t144 @t257)) % 64.97/65.14 (define @t260 () (or (not (tptp.ssItem @t258)) (not (= @t2 (tptp.cons @t258 tptp.nil))) (not (tptp.memberP @t1 @t258)))) % 64.97/65.14 (define @t261 () (and @t260 @t122)) % 64.97/65.14 (define @t262 () (= @t1 tptp.nil)) % 64.97/65.14 (define @t263 () (and @t202 @t262)) % 64.97/65.14 (define @t264 () (not @t118)) % 64.97/65.14 (define @t265 () (or @t205 @t204 @t264 @t203)) % 64.97/65.14 (define @t266 () (not (forall @t44 @t265))) % 64.97/65.14 (define @t267 () (or @t158 @t123 @t266 @t263 @t261)) % 64.97/65.14 (define @t268 () (forall (@list @t1 @t258) @t267)) % 64.97/65.14 (define @t269 () (or @t144 @t268)) % 64.97/65.14 (define @t270 () (@list @t258)) % 64.97/65.14 (define @t271 () (forall @t270 @t267)) % 64.97/65.14 (define @t272 () (forall @t270 @t122)) % 64.97/65.14 (define @t273 () (forall @t270 @t260)) % 64.97/65.14 (define @t274 () (@var "BOUND_VARIABLE_11043" $$unsorted)) % 64.97/65.14 (define @t275 () (@list @t274)) % 64.97/65.14 (define @t276 () (and @t273 @t272)) % 64.97/65.14 (define @t277 () (forall @t270 @t261)) % 64.97/65.14 (define @t278 () (or @t158 @t123 @t266 @t263 @t277)) % 64.97/65.14 (define @t279 () (and (forall (@list @t274) (or (not (tptp.ssItem @t274)) (not (= @t2 (tptp.cons @t274 tptp.nil))) (not (tptp.memberP @t1 @t274)))) @t122)) % 64.97/65.14 (define @t280 () (or @t158 @t123 @t266 @t263 @t279)) % 64.97/65.14 (define @t281 () (forall @t7 @t280)) % 64.97/65.14 (define @t282 () (or @t144 @t281)) % 64.97/65.14 (define @t283 () (or @t144 @t280)) % 64.97/65.14 (define @t284 () (or @t158 @t123 @t266 @t144 @t263 @t279)) % 64.97/65.14 (define @t285 () (or @t123 @t266 @t158 @t144 @t263 @t279)) % 64.97/65.14 (define @t286 () (@var "BOUND_VARIABLE_11014" $$unsorted)) % 64.97/65.14 (define @t287 () (@list @t286)) % 64.97/65.14 (define @t288 () (forall @t287 @t122)) % 64.97/65.14 (define @t289 () (not (tptp.memberP @t1 @t286))) % 64.97/65.14 (define @t290 () (tptp.cons @t286 tptp.nil)) % 64.97/65.14 (define @t291 () (not (tptp.ssItem @t286))) % 64.97/65.14 (define @t292 () (or @t291 (not (= @t2 @t290)) @t289)) % 64.97/65.14 (define @t293 () (forall @t287 @t292)) % 64.97/65.14 (define @t294 () (@list @t286)) % 64.97/65.14 (define @t295 () (and @t293 @t288)) % 64.97/65.14 (define @t296 () (and @t292 @t122)) % 64.97/65.14 (define @t297 () (forall @t287 @t296)) % 64.97/65.14 (define @t298 () (or @t144 @t263 @t297)) % 64.97/65.14 (define @t299 () (or @t144 @t263 @t296)) % 64.97/65.14 (define @t300 () (not (= @t2 @t2))) % 64.97/65.14 (define @t301 () (or @t144 @t300 @t263 @t296)) % 64.97/65.14 (define @t302 () (or @t291 (not (= @t12 @t290)) @t289)) % 64.97/65.14 (define @t303 () (and @t302 @t122)) % 64.97/65.14 (define @t304 () (not (= @t12 tptp.nil))) % 64.97/65.14 (define @t305 () (and @t304 @t262)) % 64.97/65.14 (define @t306 () (or @t124 @t172 @t124 @t305 @t303)) % 64.97/65.14 (define @t307 () (or @t172 @t124 @t305 @t303)) % 64.97/65.14 (define @t308 () (forall @t20 @t307)) % 64.97/65.14 (define @t309 () (forall @t287 @t308)) % 64.97/65.14 (define @t310 () (forall (@list @t286 @t12) @t307)) % 64.97/65.14 (define @t311 () (forall (@list @t12 @t286) @t307)) % 64.97/65.14 (define @t312 () (forall @t287 @t307)) % 64.97/65.14 (define @t313 () (forall @t287 @t302)) % 64.97/65.14 (define @t314 () (@var "BOUND_VARIABLE_10989" $$unsorted)) % 64.97/65.14 (define @t315 () (@list @t314)) % 64.97/65.14 (define @t316 () (and @t313 @t288)) % 64.97/65.14 (define @t317 () (forall @t287 @t303)) % 64.97/65.14 (define @t318 () (or @t172 @t124 @t305 @t317)) % 64.97/65.14 (define @t319 () (and (forall (@list @t314) (or (not (tptp.ssItem @t314)) (not (= @t12 (tptp.cons @t314 tptp.nil))) (not (tptp.memberP @t1 @t314)))) @t122)) % 64.97/65.14 (define @t320 () (or @t172 @t124 @t305 @t319)) % 64.97/65.14 (define @t321 () (forall @t20 @t320)) % 64.97/65.14 (define @t322 () (or @t123 @t266 @t158 @t321)) % 64.97/65.14 (define @t323 () (or @t123 @t266 @t158 @t320)) % 64.97/65.14 (define @t324 () (or @t172 @t124 @t123 @t266 @t158 @t305 @t319)) % 64.97/65.14 (define @t325 () (or @t124 @t123 @t266 @t158 @t305 @t319)) % 64.97/65.14 (define @t326 () (@var "BOUND_VARIABLE_10962" $$unsorted)) % 64.97/65.14 (define @t327 () (@list @t326)) % 64.97/65.14 (define @t328 () (forall @t327 @t122)) % 64.97/65.14 (define @t329 () (not (= @t12 (tptp.cons @t326 tptp.nil)))) % 64.97/65.14 (define @t330 () (not (tptp.ssItem @t326))) % 64.97/65.14 (define @t331 () (or @t330 @t329 (not (tptp.memberP @t1 @t326)))) % 64.97/65.14 (define @t332 () (forall @t327 @t331)) % 64.97/65.14 (define @t333 () (@list @t326)) % 64.97/65.14 (define @t334 () (and @t332 @t328)) % 64.97/65.14 (define @t335 () (and @t331 @t122)) % 64.97/65.14 (define @t336 () (forall @t327 @t335)) % 64.97/65.14 (define @t337 () (or @t158 @t305 @t336)) % 64.97/65.14 (define @t338 () (or @t158 @t305 @t335)) % 64.97/65.14 (define @t339 () (not (= @t1 @t1))) % 64.97/65.14 (define @t340 () (or @t158 @t339 @t305 @t335)) % 64.97/65.14 (define @t341 () (or @t330 @t329 (not (tptp.memberP @t10 @t326)))) % 64.97/65.14 (define @t342 () (and @t341 @t106)) % 64.97/65.14 (define @t343 () (and @t304 (= @t10 tptp.nil))) % 64.97/65.14 (define @t344 () (or @t125 @t186 @t125 @t343 @t342)) % 64.97/65.14 (define @t345 () (or @t186 @t125 @t343 @t342)) % 64.97/65.14 (define @t346 () (forall @t16 @t345)) % 64.97/65.14 (define @t347 () (forall @t327 @t346)) % 64.97/65.14 (define @t348 () (forall (@list @t326 @t10) @t345)) % 64.97/65.14 (define @t349 () (forall (@list @t10 @t326) @t345)) % 64.97/65.14 (define @t350 () (forall @t327 @t345)) % 64.97/65.14 (define @t351 () (forall @t327 @t106)) % 64.97/65.14 (define @t352 () (forall @t327 @t341)) % 64.97/65.14 (define @t353 () (and @t352 @t351)) % 64.97/65.14 (define @t354 () (forall @t327 @t342)) % 64.97/65.14 (define @t355 () (or @t186 @t125 @t343 @t354)) % 64.97/65.14 (define @t356 () (not (= @t12 @t108))) % 64.97/65.14 (define @t357 () (not @t111)) % 64.97/65.14 (define @t358 () (or @t357 @t356 @t107)) % 64.97/65.14 (define @t359 () (and (forall @t42 @t358) @t106)) % 64.97/65.14 (define @t360 () (or @t186 @t125 @t343 @t359)) % 64.97/65.14 (define @t361 () (forall @t16 @t360)) % 64.97/65.14 (define @t362 () (or @t124 @t123 @t266 @t361)) % 64.97/65.14 (define @t363 () (or @t124 @t123 @t266 @t360)) % 64.97/65.14 (define @t364 () (or @t186 @t125 @t124 @t123 @t266 @t343 @t359)) % 64.97/65.14 (define @t365 () (or @t125 @t124 @t123 @t266 @t343 @t359)) % 64.97/65.14 (define @t366 () (or @t356 @t107)) % 64.97/65.14 (define @t367 () (forall @t44 (not @t120))) % 64.97/65.14 (define @t368 () (not @t367)) % 64.97/65.14 (define @t369 () (tptp.neq @t212 tptp.nil)) % 64.97/65.14 (define @t370 () (tptp.memberP @t212 @t211)) % 64.97/65.14 (define @t371 () (not @t370)) % 64.97/65.14 (define @t372 () (tptp.cons @t211 tptp.nil)) % 64.97/65.14 (define @t373 () (= @t217 @t372)) % 64.97/65.14 (define @t374 () (not @t373)) % 64.97/65.14 (define @t375 () (tptp.ssItem @t211)) % 64.97/65.14 (define @t376 () (not @t375)) % 64.97/65.14 (define @t377 () (or @t376 @t374 @t371)) % 64.97/65.14 (define @t378 () (and @t377 @t369)) % 64.97/65.14 (define @t379 () (= tptp.nil @t212)) % 64.97/65.14 (define @t380 () (= tptp.nil @t217)) % 64.97/65.14 (define @t381 () (not @t380)) % 64.97/65.14 (define @t382 () (forall @t44 (or @t205 @t204 (not (tptp.segmentP @t212 @t39)) (not (tptp.segmentP @t217 @t39))))) % 64.97/65.14 (define @t383 () (not @t382)) % 64.97/65.14 (define @t384 () (not @t369)) % 64.97/65.14 (define @t385 () (tptp.ssList @t212)) % 64.97/65.14 (define @t386 () (not @t385)) % 64.97/65.14 (define @t387 () (tptp.ssList @t217)) % 64.97/65.14 (define @t388 () (not @t387)) % 64.97/65.14 (define @t389 () (or @t388 @t386 @t384 @t383 (and @t381 @t379) @t378)) % 64.97/65.14 (define @t390 () (not @t389)) % 64.97/65.14 (define @t391 () (not @t210)) % 64.97/65.14 (define @t392 () (not (= @t217 tptp.nil))) % 64.97/65.14 (define @t393 () (and @t392 @t379)) % 64.97/65.14 (define @t394 () (or @t388 @t386 @t384 @t383 @t393 @t378)) % 64.97/65.14 (define @t395 () (not @t394)) % 64.97/65.14 (define @t396 () (@list true)) % 64.97/65.14 (define @t397 () (@list @t389)) % 64.97/65.14 (define @t398 () (not @t377)) % 64.97/65.14 (define @t399 () (@list @t377)) % 64.97/65.14 (define @t400 () (not @t215)) % 64.97/65.14 (define @t401 () (= @t370 @t400)) % 64.97/65.14 (define @t402 () (or @t386 @t376 @t401)) % 64.97/65.14 (define @t403 () (@list false false false)) % 64.97/65.14 (define @t404 () (@list false false)) % 64.97/65.14 (define @t405 () (tptp.ssList @t216)) % 64.97/65.14 (define @t406 () (tptp.cons @t211 @t216)) % 64.97/65.14 (define @t407 () (@quantifiers_skolemize @t215 0)) % 64.97/65.14 (define @t408 () (tptp.app @t407 @t406)) % 64.97/65.14 (define @t409 () (= @t212 @t408)) % 64.97/65.14 (define @t410 () (not @t409)) % 64.97/65.14 (define @t411 () (not @t405)) % 64.97/65.14 (define @t412 () (tptp.ssList @t407)) % 64.97/65.14 (define @t413 () (not @t412)) % 64.97/65.14 (define @t414 () (or @t413 @t411 @t410)) % 64.97/65.14 (define @t415 () (@list @t414)) % 64.97/65.14 (define @t416 () (@list @t217)) % 64.97/65.14 (define @t417 () (tptp.segmentP @t217 @t217)) % 64.97/65.14 (define @t418 () (or @t388 @t417)) % 64.97/65.14 (define @t419 () (tptp.app tptp.nil @t217)) % 64.97/65.14 (define @t420 () (tptp.segmentP (tptp.app @t419 @t216) @t217)) % 64.97/65.14 (define @t421 () (not @t56)) % 64.97/65.14 (define @t422 () (not @t417)) % 64.97/65.14 (define @t423 () (or @t388 @t388 @t422 @t421 @t411 @t420)) % 64.97/65.14 (define @t424 () (= @t2 @t70)) % 64.97/65.14 (define @t425 () (= @t217 @t419)) % 64.97/65.14 (define @t426 () (or @t388 @t425)) % 64.97/65.14 (define @t427 () (tptp.app @t372 @t216)) % 64.97/65.14 (define @t428 () (@var "BOUND_VARIABLE_10533" $$unsorted)) % 64.97/65.14 (define @t429 () (= (tptp.cons @t428 @t2) (tptp.app (tptp.cons @t428 tptp.nil) @t2))) % 64.97/65.14 (define @t430 () (not (tptp.ssItem @t428))) % 64.97/65.14 (define @t431 () (or @t430 @t429)) % 64.97/65.14 (define @t432 () (or @t144 @t431)) % 64.97/65.14 (define @t433 () (forall (@list @t2 @t428) @t432)) % 64.97/65.14 (define @t434 () (@list @t428)) % 64.97/65.14 (define @t435 () (forall @t434 @t432)) % 64.97/65.14 (define @t436 () (forall @t434 @t431)) % 64.97/65.14 (define @t437 () (or @t144 @t436)) % 64.97/65.14 (define @t438 () (forall @t7 (or @t232 @t99))) % 64.97/65.14 (define @t439 () (@list @t216 @t211)) % 64.97/65.14 (define @t440 () (= @t406 @t427)) % 64.97/65.14 (define @t441 () (or @t411 @t376 @t440)) % 64.97/65.14 (define @t442 () (tptp.segmentP @t406 @t217)) % 64.97/65.14 (define @t443 () (@var "BOUND_VARIABLE_9109" $$unsorted)) % 64.97/65.14 (define @t444 () (= (tptp.neq @t2 @t443) (not (= @t2 @t443)))) % 64.97/65.14 (define @t445 () (not (tptp.ssList @t443))) % 64.97/65.14 (define @t446 () (or @t144 @t445 @t444)) % 64.97/65.14 (define @t447 () (or @t445 @t444)) % 64.97/65.14 (define @t448 () (or @t144 @t447)) % 64.97/65.14 (define @t449 () (@list @t2 @t443)) % 64.97/65.14 (define @t450 () (forall @t449 @t448)) % 64.97/65.14 (define @t451 () (@list @t443)) % 64.97/65.14 (define @t452 () (forall @t451 @t448)) % 64.97/65.14 (define @t453 () (forall @t451 @t447)) % 64.97/65.14 (define @t454 () (or @t144 @t453)) % 64.97/65.14 (define @t455 () (forall @t7 (or @t158 @t5))) % 64.97/65.14 (define @t456 () (tptp.neq @t217 tptp.nil)) % 64.97/65.14 (define @t457 () (or @t388 @t421 (= @t456 @t392))) % 64.97/65.14 (define @t458 () (forall @t449 @t446)) % 64.97/65.14 (define @t459 () (= @t381 @t456)) % 64.97/65.14 (define @t460 () (or @t388 @t421 @t459)) % 64.97/65.14 (define @t461 () (@var "BOUND_VARIABLE_9153" $$unsorted)) % 64.97/65.14 (define @t462 () (not (= @t2 (tptp.cons @t461 @t2)))) % 64.97/65.14 (define @t463 () (not (tptp.ssItem @t461))) % 64.97/65.14 (define @t464 () (or @t463 @t462)) % 64.97/65.14 (define @t465 () (or @t144 @t464)) % 64.97/65.14 (define @t466 () (forall (@list @t2 @t461) @t465)) % 64.97/65.14 (define @t467 () (@list @t461)) % 64.97/65.14 (define @t468 () (forall @t467 @t465)) % 64.97/65.14 (define @t469 () (forall @t467 @t464)) % 64.97/65.14 (define @t470 () (or @t144 @t469)) % 64.97/65.14 (define @t471 () (not (= @t2 @t51))) % 64.97/65.14 (define @t472 () (forall @t7 (or @t232 @t471))) % 64.97/65.14 (define @t473 () (not (= tptp.nil @t372))) % 64.97/65.14 (define @t474 () (or @t421 @t376 @t473)) % 64.97/65.14 (define @t475 () (not @t459)) % 64.97/65.14 (define @t476 () (not (tptp.segmentP @t212 @t217))) % 64.97/65.14 (define @t477 () (not @t456)) % 64.97/65.14 (define @t478 () (or @t388 @t477 @t476 @t422)) % 64.97/65.14 (define @t479 () (= @t2 @t103)) % 64.97/65.14 (define @t480 () (= @t212 (tptp.app @t212 tptp.nil))) % 64.97/65.14 (define @t481 () (or @t386 @t480)) % 64.97/65.14 (define @t482 () (tptp.app @t408 tptp.nil)) % 64.97/65.14 (define @t483 () (tptp.segmentP @t482 @t217)) % 64.97/65.14 (define @t484 () (@var "BOUND_VARIABLE_9130" $$unsorted)) % 64.97/65.14 (define @t485 () (tptp.ssList (tptp.cons @t484 @t2))) % 64.97/65.14 (define @t486 () (not (tptp.ssItem @t484))) % 64.97/65.14 (define @t487 () (or @t486 @t485)) % 64.97/65.14 (define @t488 () (or @t144 @t487)) % 64.97/65.14 (define @t489 () (forall (@list @t2 @t484) @t488)) % 64.97/65.14 (define @t490 () (@list @t484)) % 64.97/65.14 (define @t491 () (forall @t490 @t488)) % 64.97/65.14 (define @t492 () (forall @t490 @t487)) % 64.97/65.14 (define @t493 () (or @t144 @t492)) % 64.97/65.14 (define @t494 () (forall @t7 (or @t232 @t52))) % 64.97/65.14 (define @t495 () (tptp.ssList @t406)) % 64.97/65.14 (define @t496 () (or @t411 @t376 @t495)) % 64.97/65.14 (define @t497 () (not @t442)) % 64.97/65.14 (define @t498 () (not @t495)) % 64.97/65.14 (define @t499 () (or @t498 @t388 @t497 @t413 @t421 @t483)) % 64.97/65.14 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 64.97/65.14 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 64.97/65.14 (assume @p3 @t28) % 64.97/65.14 (assume @p4 (forall @t9 (=> @t26 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t29 @t2))))))) % 64.97/65.14 (assume @p5 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (= @t31 (exists @t20 (and @t18 (= @t30 @t2))))))))) % 64.97/65.14 (assume @p6 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (= @t34 (exists @t20 (and @t18 (= @t33 @t2))))))))) % 64.97/65.14 (assume @p7 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (= @t35 (exists @t20 (and @t18 (exists @t16 (and @t14 (= (tptp.app @t33 @t10) @t2))))))))))) % 64.97/65.14 (assume @p8 (forall @t9 (=> @t26 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t45 (forall @t16 (=> @t14 (forall @t44 (=> @t43 (forall @t42 (=> @t41 (=> @t40 (not (and @t37 @t36))))))))))))))))) % 64.97/65.14 (assume @p9 (forall @t9 (=> @t26 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t45 (forall @t16 (=> @t14 (forall @t44 (=> @t43 (forall @t42 (=> @t41 (=> @t40 (or @t37 @t36)))))))))))))))) % 64.97/65.14 (assume @p10 (forall @t9 (=> @t26 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t45 (forall @t16 (=> @t14 (forall @t44 (=> @t43 (forall @t42 (=> @t41 (=> @t40 (or @t46 (tptp.lt @t12 @t1))))))))))))))))) % 64.97/65.14 (assume @p11 (forall @t9 (=> @t26 (= (tptp.totalorderedP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t45 (forall @t16 (=> @t14 (forall @t44 (=> @t43 (forall @t42 (=> @t41 (=> @t40 @t37))))))))))))))) % 64.97/65.14 (assume @p12 (forall @t9 (=> @t26 (= (tptp.strictorderedP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t45 (forall @t16 (=> @t14 (forall @t44 (=> @t43 (forall @t42 (=> @t41 (=> @t40 @t46))))))))))))))) % 64.97/65.14 (assume @p13 (forall @t9 (=> @t26 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t45 (forall @t16 (=> @t14 (forall @t44 (=> @t43 (forall @t42 (=> @t41 (=> @t40 (not @t47)))))))))))))))) % 64.97/65.14 (assume @p14 (forall @t9 (=> @t26 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t45 (forall @t16 (=> @t14 (forall @t44 (=> @t43 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t39))) @t2) @t47))))))))))))) % 64.97/65.14 (assume @p15 @t50) % 64.97/65.14 (assume @p16 @t55) % 64.97/65.14 (assume @p17 @t56) % 64.97/65.14 (assume @p18 @t61) % 64.97/65.14 (assume @p19 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t45 (forall @t16 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t62))))))))))) % 64.97/65.14 (assume @p20 (forall @t9 (=> @t26 (or @t64 (exists @t7 (and @t32 (exists @t20 (and @t45 (= @t63 @t2))))))))) % 64.97/65.14 (assume @p21 (forall @t9 (=> @t26 (forall @t7 (=> @t6 (not (= tptp.nil @t51))))))) % 64.97/65.14 (assume @p22 (forall @t9 (=> @t26 (=> @t66 (tptp.ssItem @t65))))) % 64.97/65.14 (assume @p23 (forall @t9 (=> @t26 (forall @t7 (=> @t6 (= (tptp.hd @t51) @t1)))))) % 64.97/65.14 (assume @p24 (forall @t9 (=> @t26 (=> @t66 (tptp.ssList @t67))))) % 64.97/65.14 (assume @p25 (forall @t9 (=> @t26 (forall @t7 (=> @t6 (= (tptp.tl @t51) @t2)))))) % 64.97/65.14 (assume @p26 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (tptp.ssList @t68)))))) % 64.97/65.14 (assume @p27 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t45 (= (tptp.cons @t12 @t69) (tptp.app @t63 @t2))))))))) % 64.97/65.14 (assume @p28 @t72) % 64.97/65.14 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t74 @t73) @t3)))))) % 64.97/65.14 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t45 (=> (and @t74 @t37) (tptp.leq @t2 @t12))))))))) % 64.97/65.14 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 64.97/65.14 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t75 @t73)))))) % 64.97/65.14 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t77 (not @t76))))))) % 64.97/65.14 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t45 (=> (and @t77 @t46) @t78)))))))) % 64.97/65.14 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t79 @t76)))))) % 64.97/65.14 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (= (tptp.memberP @t30 @t2) (or (tptp.memberP @t1 @t2) @t80))))))))) % 64.97/65.14 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t18 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t80))))))))) % 64.97/65.14 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 64.97/65.14 (assume @p39 (not (tptp.singletonP tptp.nil))) % 64.97/65.14 (assume @p40 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (=> (and @t31 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 64.97/65.14 (assume @p41 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (=> (and @t31 (tptp.frontsegP @t1 @t2)) @t3)))))) % 64.97/65.14 (assume @p42 (forall @t9 (=> @t26 (tptp.frontsegP @t2 @t2)))) % 64.97/65.14 (assume @p43 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (=> @t31 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 64.97/65.14 (assume @p44 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t18 (forall @t16 (=> @t14 (= (tptp.frontsegP (tptp.cons @t2 @t12) @t11) (and @t3 (tptp.frontsegP @t12 @t10)))))))))))) % 64.97/65.14 (assume @p45 (forall @t9 (=> @t26 (tptp.frontsegP @t2 tptp.nil)))) % 64.97/65.14 (assume @p46 (forall @t9 (=> @t26 (= (tptp.frontsegP tptp.nil @t2) @t64)))) % 64.97/65.14 (assume @p47 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (=> (and @t34 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 64.97/65.14 (assume @p48 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (=> (and @t34 (tptp.rearsegP @t1 @t2)) @t3)))))) % 64.97/65.14 (assume @p49 (forall @t9 (=> @t26 (tptp.rearsegP @t2 @t2)))) % 64.97/65.14 (assume @p50 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (=> @t34 (tptp.rearsegP @t81 @t1))))))))) % 64.97/65.14 (assume @p51 (forall @t9 (=> @t26 (tptp.rearsegP @t2 tptp.nil)))) % 64.97/65.14 (assume @p52 (forall @t9 (=> @t26 (= (tptp.rearsegP tptp.nil @t2) @t64)))) % 64.97/65.14 (assume @p53 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (=> (and @t35 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 64.97/65.14 (assume @p54 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (=> (and @t35 (tptp.segmentP @t1 @t2)) @t3)))))) % 64.97/65.14 (assume @p55 @t83) % 64.97/65.14 (assume @p56 @t92) % 64.97/65.14 (assume @p57 (forall @t9 (=> @t26 (tptp.segmentP @t2 tptp.nil)))) % 64.97/65.14 (assume @p58 (forall @t9 (=> @t26 (= (tptp.segmentP tptp.nil @t2) @t64)))) % 64.97/65.14 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t93)))) % 64.97/65.14 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 64.97/65.14 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t93)))) % 64.97/65.14 (assume @p62 (tptp.totalorderP tptp.nil)) % 64.97/65.14 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t93)))) % 64.97/65.14 (assume @p64 (tptp.strictorderP tptp.nil)) % 64.97/65.14 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t93)))) % 64.97/65.14 (assume @p66 (tptp.totalorderedP tptp.nil)) % 64.97/65.14 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t32 (= (tptp.totalorderedP @t97) (or @t95 (and @t96 (tptp.totalorderedP @t1) (tptp.leq @t2 @t94))))))))) % 64.97/65.14 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t93)))) % 64.97/65.14 (assume @p69 (tptp.strictorderedP tptp.nil)) % 64.97/65.14 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t32 (= (tptp.strictorderedP @t97) (or @t95 (and @t96 (tptp.strictorderedP @t1) (tptp.lt @t2 @t94))))))))) % 64.97/65.14 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t93)))) % 64.97/65.14 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 64.97/65.14 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t93)))) % 64.97/65.14 (assume @p74 (tptp.equalelemsP tptp.nil)) % 64.97/65.14 (assume @p75 (forall @t9 (=> @t26 (=> @t66 (exists @t7 (and @t6 (= @t65 @t1))))))) % 64.97/65.14 (assume @p76 (forall @t9 (=> @t26 (=> @t66 (exists @t7 (and @t32 (= @t67 @t1))))))) % 64.97/65.14 (assume @p77 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (=> (and @t96 @t66 (= @t94 @t65) (= (tptp.tl @t1) @t67)) @t62)))))) % 64.97/65.14 (assume @p78 (forall @t9 (=> @t26 (=> @t66 (= (tptp.cons @t65 @t67) @t2))))) % 64.97/65.14 (assume @p79 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (=> (= @t33 @t68) @t98)))))))) % 64.97/65.14 (assume @p80 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (=> (= @t30 @t69) @t98)))))))) % 64.97/65.14 (assume @p81 @t102) % 64.97/65.14 (assume @p82 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (= (tptp.app @t68 @t12) (tptp.app @t2 @t30))))))))) % 64.97/65.14 (assume @p83 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (= (= tptp.nil @t68) (and @t95 @t64))))))) % 64.97/65.14 (assume @p84 @t105) % 64.97/65.14 (assume @p85 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (=> @t66 (= (tptp.hd @t68) @t65))))))) % 64.97/65.14 (assume @p86 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (=> @t66 (= (tptp.tl @t68) (tptp.app @t67 @t1)))))))) % 64.97/65.14 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t75 (tptp.geq @t1 @t2)) @t3)))))) % 64.97/65.14 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t45 (=> (and @t75 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 64.97/65.14 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 64.97/65.14 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 64.97/65.14 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t45 (=> (and @t74 @t46) @t78)))))))) % 64.97/65.14 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t74 (or @t3 @t77))))))) % 64.97/65.14 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t77 (and @t4 @t74))))))) % 64.97/65.14 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t79 (not (tptp.gt @t1 @t2)))))))) % 64.97/65.14 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t45 (=> (and @t79 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 64.97/65.14 (assume @p96 @t135) % 64.97/65.14 (assume @p97 true) % 64.97/65.14 (step @p98 :rule evaluate :args ((= false true))) % 64.97/65.14 (step @p99 :rule aci_norm :args ((= @t146 (or @t144 @t143 @t142 @t141 @t140 @t139)))) % 64.97/65.14 (step @p100 :rule cong :premises (@p99) :args (@t147)) % 64.97/65.14 (step @p101 :rule quant-merge-prenex :args ((= (forall @t9 @t149) @t147))) % 64.97/65.14 (step @p102 :rule alpha_equiv :args (@t150 (@list @t136 @t138 @t137) (@list @t1 @t152 @t151))) % 64.97/65.14 (step @p103 :rule refl :args (@t144)) % 64.97/65.14 (step @p104 :rule nary_cong :premises (@p103 @p102) :args (@t153)) % 64.97/65.14 (step @p105 :rule quant-miniscope-or :args ((= @t149 @t153))) % 64.97/65.14 (step @p106 :rule trans :premises (@p105 @p104)) % 64.97/65.14 (step @p107 :rule symm :premises (@p106)) % 64.97/65.14 (step @p108 :rule cong :premises (@p107) :args ((forall @t9 (or @t144 @t161)))) % 64.97/65.14 (step @p109 :rule trans :premises (@p108 @p101)) % 64.97/65.14 (step @p110 :rule trans :premises (@p109 @p100)) % 64.97/65.14 (step @p111 :rule bool-impl-elim :args (@t26 @t161)) % 64.97/65.14 (step @p112 :rule cong :premises (@p111) :args ((forall @t9 (=> @t26 @t161)))) % 64.97/65.14 (step @p113 :rule trans :premises (@p112 @p110)) % 64.97/65.14 (step @p114 :rule aci_norm :args ((= @t163 @t159))) % 64.97/65.14 (step @p115 :rule cong :premises (@p114) :args (@t164)) % 64.97/65.14 (step @p116 :rule quant-merge-prenex :args ((= (forall @t7 @t166) @t164))) % 64.97/65.14 (step @p117 :rule alpha_equiv :args (@t167 (@list @t152 @t151) (@list @t12 @t168))) % 64.97/65.14 (step @p118 :rule refl :args (@t157)) % 64.97/65.14 (step @p119 :rule refl :args (@t158)) % 64.97/65.14 (step @p120 :rule nary_cong :premises (@p119 @p118 @p117) :args (@t169)) % 64.97/65.14 (step @p121 :rule quant-miniscope-or :args ((= @t166 @t169))) % 64.97/65.14 (step @p122 :rule trans :premises (@p121 @p120)) % 64.97/65.14 (step @p123 :rule symm :premises (@p122)) % 64.97/65.14 (step @p124 :rule cong :premises (@p123) :args ((forall @t7 @t176))) % 64.97/65.14 (step @p125 :rule trans :premises (@p124 @p116)) % 64.97/65.14 (step @p126 :rule trans :premises (@p125 @p115)) % 64.97/65.14 (step @p127 :rule aci_norm :args ((= (or @t158 @t177) @t176))) % 64.97/65.14 (step @p128 :rule bool-impl-elim :args (@t32 @t177)) % 64.97/65.14 (step @p129 :rule trans :premises (@p128 @p127)) % 64.97/65.14 (step @p130 :rule cong :premises (@p129) :args ((forall @t7 (=> @t32 @t177)))) % 64.97/65.14 (step @p131 :rule trans :premises (@p130 @p126)) % 64.97/65.14 (step @p132 :rule aci_norm :args ((= @t179 @t173))) % 64.97/65.14 (step @p133 :rule cong :premises (@p132) :args (@t180)) % 64.97/65.14 (step @p134 :rule quant-merge-prenex :args ((= (forall @t20 @t182) @t180))) % 64.97/65.14 (step @p135 :rule alpha_equiv :args (@t183 (@list @t168) @t184)) % 64.97/65.14 (step @p136 :rule refl :args (@t172)) % 64.97/65.14 (step @p137 :rule nary_cong :premises (@p136 @p135) :args (@t185)) % 64.97/65.14 (step @p138 :rule quant-miniscope-or :args ((= @t182 @t185))) % 64.97/65.14 (step @p139 :rule trans :premises (@p138 @p137)) % 64.97/65.14 (step @p140 :rule symm :premises (@p139)) % 64.97/65.14 (step @p141 :rule cong :premises (@p140) :args (@t190)) % 64.97/65.14 (step @p142 :rule trans :premises (@p141 @p134)) % 64.97/65.14 (step @p143 :rule trans :premises (@p142 @p133)) % 64.97/65.14 (step @p144 :rule refl :args (@t157)) % 64.97/65.14 (step @p145 :rule nary_cong :premises (@p144 @p143) :args (@t191)) % 64.97/65.14 (step @p146 :rule quant-miniscope-or :args ((= (forall @t20 @t192) @t191))) % 64.97/65.14 (step @p147 :rule aci_norm :args ((= @t193 @t192))) % 64.97/65.14 (step @p148 :rule cong :premises (@p147) :args ((forall @t20 @t193))) % 64.97/65.14 (step @p149 :rule trans :premises (@p148 @p146)) % 64.97/65.14 (step @p150 :rule trans :premises (@p149 @p145)) % 64.97/65.14 (step @p151 :rule aci_norm :args ((= (or @t172 @t194) @t193))) % 64.97/65.14 (step @p152 :rule bool-impl-elim :args (@t18 @t194)) % 64.97/65.14 (step @p153 :rule trans :premises (@p152 @p151)) % 64.97/65.14 (step @p154 :rule cong :premises (@p153) :args ((forall @t20 (=> @t18 @t194)))) % 64.97/65.14 (step @p155 :rule trans :premises (@p154 @p150)) % 64.97/65.14 (step @p156 :rule quant-miniscope-or :args ((= (forall @t16 @t195) @t194))) % 64.97/65.14 (step @p157 :rule aci_norm :args ((= @t196 @t195))) % 64.97/65.14 (step @p158 :rule cong :premises (@p157) :args ((forall @t16 @t196))) % 64.97/65.14 (step @p159 :rule trans :premises (@p158 @p156)) % 64.97/65.14 (step @p160 :rule aci_norm :args ((= (or @t186 (or @t157 @t84)) @t196))) % 64.97/65.14 (step @p161 :rule bool-impl-elim :args (@t35 @t84)) % 64.97/65.14 (step @p162 :rule refl :args (@t186)) % 64.97/65.14 (step @p163 :rule nary_cong :premises (@p162 @p161) :args ((or @t186 @t85))) % 64.97/65.14 (step @p164 :rule trans :premises (@p163 @p160)) % 64.97/65.14 (step @p165 :rule bool-impl-elim :args (@t14 @t85)) % 64.97/65.14 (step @p166 :rule trans :premises (@p165 @p164)) % 64.97/65.14 (step @p167 :rule cong :premises (@p166) :args (@t86)) % 64.97/65.14 (step @p168 :rule trans :premises (@p167 @p159)) % 64.97/65.14 (step @p169 :rule refl :args (@t18)) % 64.97/65.14 (step @p170 :rule cong :premises (@p169 @p168) :args (@t87)) % 64.97/65.14 (step @p171 :rule cong :premises (@p170) :args (@t88)) % 64.97/65.14 (step @p172 :rule trans :premises (@p171 @p155)) % 64.97/65.14 (step @p173 :rule refl :args (@t32)) % 64.97/65.14 (step @p174 :rule cong :premises (@p173 @p172) :args (@t89)) % 64.97/65.14 (step @p175 :rule cong :premises (@p174) :args (@t90)) % 64.97/65.14 (step @p176 :rule trans :premises (@p175 @p131)) % 64.97/65.14 (step @p177 :rule refl :args (@t26)) % 64.97/65.14 (step @p178 :rule cong :premises (@p177 @p176) :args (@t91)) % 64.97/65.14 (step @p179 :rule cong :premises (@p178) :args (@t92)) % 64.97/65.14 (step @p180 :rule trans :premises (@p179 @p113)) % 64.97/65.14 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:rule cong :premises (@p177 @p628) :args (@t49)) % 64.97/65.14 (step @p630 :rule cong :premises (@p629) :args (@t50)) % 64.97/65.14 (step @p631 :rule trans :premises (@p630 @p626)) % 64.97/65.14 (step @p632 :rule eq_resolve :premises (@p15 @p631)) % 64.97/65.14 (step @p633 :rule refl :args (@t456)) % 64.97/65.14 (step @p634 :rule cong :premises (@p476 @p633) :args ((= @t392 @t456))) % 64.97/65.14 (step @p635 :rule eq-symm :args (@t456 @t392)) % 64.97/65.14 (step @p636 :rule trans :premises (@p635 @p634)) % 64.97/65.14 (step @p637 :rule refl :args (@t421)) % 64.97/65.14 (step @p638 :rule nary_cong :premises (@p481 @p637 @p636) :args (@t457)) % 64.97/65.14 (step @p639 :rule refl :args (@t458)) % 64.97/65.14 (step @p640 :rule cong :premises (@p639 @p638) :args ((=> @t458 @t457))) % 64.97/65.14 (assume-push @p759 @t458) % 64.97/65.14 (step @p642 :rule instantiate :premises (@p632) :args ((@list @t217 tptp.nil))) % 64.97/65.14 (step-pop @p760 :rule scope :premises (@p642)) % 64.97/65.14 (step @p643 :rule process_scope :premises (@p760) :args (@t457)) % 64.97/65.14 (step @p645 :rule eq_resolve :premises (@p643 @p640)) % 64.97/65.14 (step @p646 :rule implies_elim :premises (@p645)) % 64.97/65.14 (step @p647 :rule chain_m_resolution :premises (@p646 @p632) :args (@t460 (@list false) (@list @t458))) % 64.97/65.14 (step @p648 :rule cnf_or_pos :args (@t460)) % 64.97/65.14 (step @p649 :rule reordering :premises (@p648) :args ((or @t421 @t388 @t459 (not @t460)))) % 64.97/65.14 (step @p650 :rule chain_m_resolution :premises (@p649 @p17 @p548 @p647) :args (@t459 @t403 (@list @t56 @t387 @t460))) % 64.97/65.14 (step @p651 :rule aci_norm :args ((= @t465 (or @t144 @t463 @t462)))) % 64.97/65.14 (step @p652 :rule cong :premises (@p651) :args (@t466)) % 64.97/65.14 (step @p653 :rule quant-merge-prenex :args ((= (forall @t9 @t468) @t466))) % 64.97/65.14 (step @p654 :rule alpha_equiv :args (@t469 (@list @t461) @t227)) % 64.97/65.14 (step @p655 :rule nary_cong :premises (@p103 @p654) :args (@t470)) % 64.97/65.14 (step @p656 :rule quant-miniscope-or :args ((= @t468 @t470))) % 64.97/65.14 (step @p657 :rule trans :premises (@p656 @p655)) % 64.97/65.14 (step @p658 :rule symm :premises (@p657)) % 64.97/65.14 (step @p659 :rule cong :premises (@p658) :args ((forall @t9 (or @t144 @t472)))) % 64.97/65.14 (step @p660 :rule trans :premises (@p659 @p653)) % 64.97/65.14 (step @p661 :rule trans :premises (@p660 @p652)) % 64.97/65.14 (step @p662 :rule bool-impl-elim :args (@t26 @t472)) % 64.97/65.14 (step @p663 :rule cong :premises (@p662) :args ((forall @t9 (=> @t26 @t472)))) % 64.97/65.14 (step @p664 :rule trans :premises (@p663 @p661)) % 64.97/65.14 (step @p665 :rule bool-impl-elim :args (@t6 @t471)) % 64.97/65.14 (step @p666 :rule cong :premises (@p665) :args ((forall @t7 (=> @t6 @t471)))) % 64.97/65.14 (step @p667 :rule eq-symm :args (@t51 @t2)) % 64.97/65.14 (step @p668 :rule cong :premises (@p667) :args (@t57)) % 64.97/65.14 (step @p669 :rule cong :premises (@p234 @p668) :args (@t58)) % 64.97/65.14 (step @p670 :rule cong :premises (@p669) :args (@t59)) % 64.97/65.14 (step @p671 :rule trans :premises (@p670 @p666)) % 64.97/65.14 (step @p672 :rule cong :premises (@p177 @p671) :args (@t60)) % 64.97/65.14 (step @p673 :rule cong :premises (@p672) :args (@t61)) % 64.97/65.14 (step @p674 :rule trans :premises (@p673 @p664)) % 64.97/65.14 (step @p675 :rule eq_resolve :premises (@p18 @p674)) % 64.97/65.14 (step @p676 :rule instantiate :premises (@p675) :args ((@list tptp.nil @t211))) % 64.97/65.14 (step @p677 :rule cnf_or_pos :args (@t474)) % 64.97/65.14 (step @p678 :rule reordering :premises (@p677) :args ((or @t421 @t376 @t473 (not @t474)))) % 64.97/65.14 (step @p679 :rule chain_m_resolution :premises (@p678 @p17 @p512 @p676) :args (@t473 @t403 (@list @t56 @t375 @t474))) % 64.97/65.14 (step @p680 :rule false_intro :premises (@p679)) % 64.97/65.14 (step @p681 :rule refl :args (tptp.nil)) % 64.97/65.14 (step @p682 :rule cong :premises (@p681 @p576) :args (@t380)) % 64.97/65.14 (step @p683 :rule trans :premises (@p682 @p680)) % 64.97/65.14 (step @p684 :rule false_elim :premises (@p683)) % 64.97/65.14 (step @p685 :rule bool-double-not-elim :args (@t380)) % 64.97/65.14 (step @p686 :rule refl :args (@t475)) % 64.97/65.14 (step @p687 :rule nary_cong :premises (@p686 @p685 @p633) :args ((or @t475 (not @t381) @t456))) % 64.97/65.14 (step @p688 :rule cnf_equiv_pos1 :args (@t459)) % 64.97/65.14 (step @p689 :rule eq_resolve :premises (@p688 @p687)) % 64.97/65.14 (step @p690 :rule reordering :premises (@p689) :args ((or @t380 @t456 @t475))) % 64.97/65.14 (step @p691 :rule chain_m_resolution :premises (@p690 @p684 @p650) :args (@t456 (@list true false) (@list @t380 @t459))) % 64.97/65.14 (step @p692 :rule cnf_or_pos :args (@t478)) % 64.97/65.14 (step @p693 :rule reordering :premises (@p692) :args ((or @t388 @t422 @t477 @t476 (not @t478)))) % 64.97/65.14 (step @p694 :rule chain_m_resolution :premises (@p693 @p548 @p551 @p691 @p612) :args (@t476 (@list false false false false) (@list @t387 @t417 @t456 @t478))) % 64.97/65.14 (step @p695 :rule false_intro :premises (@p694)) % 64.97/65.14 (step @p696 :rule bool-impl-elim :args (@t26 @t479)) % 64.97/65.14 (step @p697 :rule cong :premises (@p696) :args ((forall @t9 (=> @t26 @t479)))) % 64.97/65.14 (step @p698 :rule eq-symm :args (@t103 @t2)) % 64.97/65.14 (step @p699 :rule cong :premises (@p177 @p698) :args (@t104)) % 64.97/65.14 (step @p700 :rule cong :premises (@p699) :args (@t105)) % 64.97/65.14 (step @p701 :rule trans :premises (@p700 @p697)) % 64.97/65.14 (step @p702 :rule eq_resolve :premises (@p84 @p701)) % 64.97/65.14 (step @p703 :rule instantiate :premises (@p702) :args ((@list @t212))) % 64.97/65.14 (step @p704 :rule cnf_or_pos :args (@t481)) % 64.97/65.14 (step @p705 :rule reordering :premises (@p704) :args ((or @t386 @t480 (not @t481)))) % 64.97/65.14 (step @p706 :rule chain_m_resolution :premises (@p705 @p518 @p703) :args (@t480 @t404 (@list @t385 @t481))) % 64.97/65.14 (step @p707 :rule symm :premises (@p706)) % 64.97/65.14 (step @p708 :rule bool-double-not-elim :args (@t409)) % 64.97/65.14 (step @p709 :rule nary_cong :premises (@p533 @p708) :args ((or @t414 (not @t410)))) % 64.97/65.14 (step @p710 :rule cnf_or_neg :args (@t414 2)) % 64.97/65.14 (step @p711 :rule eq_resolve :premises (@p710 @p709)) % 64.97/65.14 (step @p712 :rule reordering :premises (@p711) :args ((or @t409 @t414))) % 64.97/65.14 (step @p713 :rule chain_m_resolution :premises (@p712 @p531) :args (@t409 @t396 @t415)) % 64.97/65.14 (step @p714 :rule symm :premises (@p713)) % 64.97/65.14 (step @p715 :rule cong :premises (@p714 @p681) :args (@t482)) % 64.97/65.14 (step @p716 :rule trans :premises (@p715 @p707)) % 64.97/65.14 (step @p717 :rule cong :premises (@p716 @p557) :args (@t483)) % 64.97/65.14 (step @p718 :rule trans :premises (@p717 @p695)) % 64.97/65.14 (step @p719 :rule false_elim :premises (@p718)) % 64.97/65.14 (step @p720 :rule aci_norm :args ((= @t488 (or @t144 @t486 @t485)))) % 64.97/65.14 (step @p721 :rule cong :premises (@p720) :args (@t489)) % 64.97/65.14 (step @p722 :rule quant-merge-prenex :args ((= (forall @t9 @t491) @t489))) % 64.97/65.14 (step @p723 :rule alpha_equiv :args (@t492 (@list @t484) @t227)) % 64.97/65.14 (step @p724 :rule nary_cong :premises (@p103 @p723) :args (@t493)) % 64.97/65.14 (step @p725 :rule quant-miniscope-or :args ((= @t491 @t493))) % 64.97/65.14 (step @p726 :rule trans :premises (@p725 @p724)) % 64.97/65.14 (step @p727 :rule symm :premises (@p726)) % 64.97/65.14 (step @p728 :rule cong :premises (@p727) :args ((forall @t9 (or @t144 @t494)))) % 64.97/65.14 (step @p729 :rule trans :premises (@p728 @p722)) % 64.97/65.14 (step @p730 :rule trans :premises (@p729 @p721)) % 64.97/65.14 (step @p731 :rule bool-impl-elim :args (@t26 @t494)) % 64.97/65.14 (step @p732 :rule cong :premises (@p731) :args ((forall @t9 (=> @t26 @t494)))) % 64.97/65.14 (step @p733 :rule trans :premises (@p732 @p730)) % 64.97/65.14 (step @p734 :rule bool-impl-elim :args (@t6 @t52)) % 64.97/65.14 (step @p735 :rule cong :premises (@p734) :args (@t53)) % 64.97/65.14 (step @p736 :rule cong :premises (@p177 @p735) :args (@t54)) % 64.97/65.14 (step @p737 :rule cong :premises (@p736) :args (@t55)) % 64.97/65.14 (step @p738 :rule trans :premises (@p737 @p733)) % 64.97/65.14 (step @p739 :rule eq_resolve :premises (@p16 @p738)) % 64.97/65.14 (step @p740 :rule instantiate :premises (@p739) :args (@t439)) % 64.97/65.14 (step @p741 :rule cnf_or_pos :args (@t496)) % 64.97/65.14 (step @p742 :rule reordering :premises (@p741) :args ((or @t376 @t411 @t495 (not @t496)))) % 64.97/65.14 (step @p743 :rule chain_m_resolution :premises (@p742 @p512 @p538 @p740) :args (@t495 @t403 (@list @t375 @t405 @t496))) % 64.97/65.14 (step @p744 :rule bool-double-not-elim :args (@t412)) % 64.97/65.14 (step @p745 :rule nary_cong :premises (@p533 @p744) :args ((or @t414 (not @t413)))) % 64.97/65.14 (step @p746 :rule cnf_or_neg :args (@t414 0)) % 64.97/65.14 (step @p747 :rule eq_resolve :premises (@p746 @p745)) % 64.97/65.14 (step @p748 :rule reordering :premises (@p747) :args ((or @t412 @t414))) % 64.97/65.14 (step @p749 :rule chain_m_resolution :premises (@p748 @p531) :args (@t412 @t396 @t415)) % 64.97/65.14 (step @p750 :rule cnf_or_pos :args (@t499)) % 64.97/65.14 (step @p751 :rule reordering :premises (@p750) :args ((or @t421 @t388 @t413 @t498 @t497 @t483 (not @t499)))) % 64.97/65.14 (step @p752 :rule chain_m_resolution :premises (@p751 @p17 @p548 @p749 @p743 @p719 @p605) :args (@t497 (@list false false false false true false) (@list @t56 @t387 @t412 @t495 @t483 @t499))) % 64.97/65.14 (step @p753 :rule false_intro :premises (@p752)) % 64.97/65.14 (step @p754 :rule symm :premises (@p753)) % 64.97/65.14 (step @p755 :rule trans :premises (@p754 @p604 @p556)) % 64.97/65.14 (step @p756 false :rule eq_resolve :premises (@p755 @p98)) % 64.97/65.14 ) % 64.97/65.14 % SZS output end Proof % 64.97/65.14 % cvc5 exiting %------------------------------------------------------------------------------